I did not attend the Moot, as I'm in south Alabama in the US, but I have used Choice in a similar manner in class. It is just a matter of having the Choice set up ahead of time with all the questions you want to poll. The students (audience) make their choice and the teacher displays his/her view of the correct Moodle course page showing the responses and refreshes the page as needed to show the response totals.
You can pretty much do the same thing with the Feedback and Questionnaire activities but it would be a little more awkward if you use too many questions. There is also a Poll block that could be used, but being a block would not show on screen quite as well. Two other activities that could be used are the Realtime Quiz and the newer version of it, Active Quiz. My students really enjoyed it when I used them.
The only downside to all of these, is that to keep things moving along, the teacher needs to create all the questions ahead of time, which depending on the setting, may not always be convenient. If you cover material that you don't have questions already created for, it will really hamper the flow of the class to try and make them on the fly.
The only thing I can think of that would allow for fairly convenient creation of questions and voting, on the fly, would be to use the Hot Question activity. Using it, both students and teachers can post questions and vote, live in class, or at any time like the others. The teacher can start a new round of questions with the click of a button and still keep previous rounds for review/discussion.
Full disclosure...I just took over maintaining Hot Question as it had not been updated past a version for Moodle 2.1. I kept it updated for my own classes to use, until just recently, because my students and I liked the fact that it allowed for their input to create the questions and have them voted on. I just released versions for Moodle 2.7, 2.8, and 2.9. I expect to release a 3.0 version later today.